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Frequency domain criteria for absolute stability : a delay-integral-quadratic constraints approach

Author: Dmitry Altshuller
Publisher: London ; New York : Springer, ©2013.
Series: Lecture notes in control and information sciences, 432.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Dmitry Altshuller
ISBN: 9781447142348 1447142349 1447142330 9781447142331
OCLC Number: 802284386
Description: 1 online resource.
Contents: A Historical Survey --
Foundations --
Stability Multipliers --
Time-Periodic Systems.
Series Title: Lecture notes in control and information sciences, 432.
Responsibility: Dmitry Altshuller.
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Abstract:

This book focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. Many classical results are naturally  Read more...

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schema:description"Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. The results are presented in the frequency domain - the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems."
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